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A Computational Study on Two-Parameter Singularly Perturbed Third-Order Delay Differential Equations
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A Computational Study on Two-Parameter Singularly Perturbed Third-Order Delay Differential Equations
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Journal Article
A Computational Study on Two-Parameter Singularly Perturbed Third-Order Delay Differential Equations
2025
Overview
A class of third-order singularly perturbed two-parameter delay differential equations of boundary value problems is studied in this paper. Regular and singular components are used to estimate the solution’s a priori bounds and derivatives. A fitted finite-difference method is constructed to solve the problem on a Shishkin mesh. The numerical solution converges uniformly to the exact solution; it is validated via numerical test problems. The order of convergence of the numerical method is almost first-order, which is independent of the parameters ε and μ.
Publisher
MDPI AG
